Let's evaluate each statement one by one using the number line.
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−2 is greater than −2 1/2.
- On the number line, −2 is to the right of −2 1/2. Therefore, this statement is True.
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1.5 is less than 1.
- On the number line, 1.5 is to the right of 1. Therefore, this statement is False.
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1 is less than −1/2.
- On the number line, 1 is to the right of −1/2. Therefore, this statement is False.
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−1 1/2 is greater than −1/2.
- On the number line, −1 1/2 is to the left of −1/2. Therefore, this statement is False.
To summarize:
- −2 is greater than −2 1/2: True
- 1.5 is less than 1: False
- 1 is less than −1/2: False
- −1 1/2 is greater than −1/2: False